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Finding the Fourth Proportional to 312.48, 430.68 and 276.72

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Solution

The fourth proportional to 312.48, 430.68 and 276.72 is: 381.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.48 : 430.68 = 276.72 : x
  2. Step 2: Convert to fraction form
    312.48/430.68 = 276.72/x
  3. Step 3: Cross multiply
    312.48x = 430.68 × 276.72
  4. Step 4: Simplify right side
    312.48x = 119,177.77
  5. Step 5: Solve for x
    x = 119,177.77/312.48
  6. Step 6: Final answer
    x = 381.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.